# 157 s1 77 s2 88 the sample size is 478 for both

• 48

This preview shows page 21 - 26 out of 48 pages.

157, s1 = 77, s2 = 88. The sample size is 478 for both samples. Find the 85% confidence interval for μ1 - μ2. 781 < μ1 - μ2 < 821 800 < μ1 - μ2 < 802 794 < μ1 - μ2 < 808 793.2946 < μ1 - μ2 < 808.7054 Answer: Step-by-step explanation: The confidence interval for the difference of two population mean is given by :- Given : Significance level : Critical value We assume that the two samples are independent simple random samples selected from normally distributed populations. :
Now, the confidence interval for the difference of two population mean is given by :- Hence, the 85% confidence interval for is given by :- Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that the mean difference d bar = 3.125, sd = 2.911, and n = 8, and that you wish to test the following hypothesis at the 10% level of significance: H0 : µd = 0 against H1 : µd > 0. What decision
0.1 of the area in the right of the distribution and the best decision based on the possible options would be: c). Reject H0 if test statistic is greater than 1.895. Step-by-step explanation: The system of hypothesis for this case are: Null hypothesis: Alternative hypothesis: The statistic for this case is given by: The degrees of freedom are given by: The p value for this case can be calculated from this probability: The critical value for this case can be calculated using the t distribution with 7 degrees of freedom and the critical value would be a value who accumulates 0.1 of the area in the right of the distribution and the best decision based on the possible options would be: c). Reject H0 if test statistic is greater than 1.895.
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is μd = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. x 28 31 20 25 28 27 33 35 y 26 27 26 25 29 32 33 34
Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is µd = 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed.
• • • 